Least Common Multiple of 670 and 678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 670 and 678 the smallest integer that is 227130 that is divisible by both numbers.

Least Common Multiple (LCM) of 670 and 678 is 227130.

LCM(670,678) = 227130

LCM of 670 and 678

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 670 and 678

LCM of 670 and 678 is 227130

Least common multiple can be found by multiplying the highest exponent prime factors of 670 and 678. First we will calculate the prime factors of 670 and 678.

Prime Factorization of 670


2 670
5 335
67 67
1

Prime factors of 670 are 2, 5,67. Prime factorization of 670 in exponential form is:

670 = 21×51×671

Prime Factorization of 678


2 678
3 339
113 113
1

Prime factors of 678 are 2, 3,113. Prime factorization of 678 in exponential form is:

678 = 21×31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 670 and 678.

LCM(670,678) = 21×31×51×671×1131
LCM(670,678) = 227130

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Least Common Multiple of 670 and 678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 670 and 678, than apply into the LCM equation.

GCF(670,678) = 2
LCM(670,678) = ( 670 × 678) / 2
LCM(670,678) = 454260 / 2
LCM(670,678) = 227130

Properties of LCM 670 and 678

(i) The LCM of 678 and 670 is associative

LCM of 670 and 678 = LCM of 678 and 670

Related Least Common Multiples of 670

Related Least Common Multiples of 678

Frequently Asked Questions on LCM of 670 and 678

1. What is the LCM of 670 and 678?

Answer: LCM of 670 and 678 is 227130.

2. What are the Factors of 670?

Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.

3. What are the Factors of 678?

Answer: Factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678. There are 8 integers that are factors of 678. The greatest factor of 678 is 678.

4. How to Find the LCM of 670 and 678?

Answer:

Least Common Multiple of 670 and 678 = 227130

Step 1: Find the prime factorization of 670

670 = 2 x 5 x 67

Step 2: Find the prime factorization of 678

678 = 2 x 3 x 113

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 227130 = 2 x 3 x 5 x 67 x 113

Step 4: Therefore, the least common multiple of 670 and 678 is 227130.